Find the center of mass of the thin rod with the given density function.Find the center of mass of a thin rod that lies along the first-quadrant portion of the circle
if the density of the rod is 
A. 
= 
?, 
= 
?
B. 
= 
?, 
= 
?
C. 
= 0, 
= 
?
D. 
= 2?, 
= 2?
Answer: A
Mathematics
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Find the volume of the solid generated by revolving the shaded region about the given axis.About the x-axis
A. 
?
B. 
?
C. 
?
D. 
?
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Factor out the greatest common factor. Simplify the factors, if possible.3x(5x + 2) + 4(5x + 2)
A. (15x + 4)(x + 2) B. (3x - 4)(5x - 2) C. (15x - 4)(x - 2) D. (3x + 4)(5x + 2)
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Calculate the derivative of the function. Then find the value of the derivative as specified.g(x) = x3 + 5x; g '(1)
A. g '(x) = 3x2; g '(1) = 3 B. g '(x) = 3x2 + 5x; g '(1) = 8 C. g '(x) = x2 + 5; g '(1) = 6 D. g '(x) = 3x2 + 5; g '(1) = 8
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Solve the problem.Find the expected number of boys in a family of 6 children.
A. 4 B. 3.75 C. 3.5 D. 3
Mathematics